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Finding the Fourth Proportional to 2,471,728.40, 3,699,719.40 and 1,763,140.40

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Solution

The fourth proportional to 2,471,728.40, 3,699,719.40 and 1,763,140.40 is: 2,639,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,728.40 : 3,699,719.40 = 1,763,140.40 : x
  2. Step 2: Convert to fraction form
    2,471,728.40/3,699,719.40 = 1,763,140.40/x
  3. Step 3: Cross multiply
    2,471,728.40x = 3,699,719.40 × 1,763,140.40
  4. Step 4: Simplify right side
    2,471,728.40x = 6,523,124,742,803.76
  5. Step 5: Solve for x
    x = 6,523,124,742,803.76/2,471,728.40
  6. Step 6: Final answer
    x = 2,639,094.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.